THE COHOMOLOGICAL CREPANT RESOLUTION CONJECTURE FOR ℙ(1,3,4,4)

DOI10.1142/S0129167X09005479zbMath1190.14053arXiv0712.3248OpenAlexW1978552073WikidataQ123230927 ScholiaQ123230927MaRDI QIDQ5324410

Etienne Mann, Fabio Perroni, Samuel Boissière

Publication date: 3 August 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3248

zbMATH Keywords

quantum cohomologytoric geometryRuan's conjectureGromov--Witten invariantsChen--Ruan cohomology

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items

The integral (orbifold) Chow ring of toric Deligne-Mumford stacks, Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds, Computing certain Gromov-Witten invariants of the crepant resolution of ℙ(1, 3, 4, 4), The crepant transformation conjecture for toric complete intersections, On Ruan's cohomological crepant resolution conjecture for the complexified Bianchi orbifolds, Orbifold quantum D-modules associated to weighted projective spaces

Cites Work

• Uniqueness of crepant resolutions and symplectic singularities.
• Introduction to Toric Varieties. (AM-131)
• The orbifold Chow ring of toric Deligne-Mumford stacks
• A Model for the Orbifold Chow Ring of Weighted Projective Spaces
• The orbifold quantum cohomology of $\mathbb{C}^{2}/\mathbb{Z}_3$ and Hurwitz-Hodge integrals
• Orbifold quantum cohomology of weighted projective spaces
• CHEN–RUAN COHOMOLOGY OF ADE SINGULARITIES